3(x+2)-4(x+4)=7x+10

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Solution for 3(x+2)-4(x+4)=7x+10 equation: 


Simplifying
3(x + 2) + -4(x + 4) = 7x + 10

Reorder the terms:
3(2 + x) + -4(x + 4) = 7x + 10
(2 * 3 + x * 3) + -4(x + 4) = 7x + 10
(6 + 3x) + -4(x + 4) = 7x + 10

Reorder the terms:
6 + 3x + -4(4 + x) = 7x + 10
6 + 3x + (4 * -4 + x * -4) = 7x + 10
6 + 3x + (-16 + -4x) = 7x + 10

Reorder the terms:
6 + -16 + 3x + -4x = 7x + 10

Combine like terms: 6 + -16 = -10
-10 + 3x + -4x = 7x + 10

Combine like terms: 3x + -4x = -1x
-10 + -1x = 7x + 10

Reorder the terms:
-10 + -1x = 10 + 7x

Solving
-10 + -1x = 10 + 7x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-7x' to each side of the equation.
-10 + -1x + -7x = 10 + 7x + -7x

Combine like terms: -1x + -7x = -8x
-10 + -8x = 10 + 7x + -7x

Combine like terms: 7x + -7x = 0
-10 + -8x = 10 + 0
-10 + -8x = 10

Add '10' to each side of the equation.
-10 + 10 + -8x = 10 + 10

Combine like terms: -10 + 10 = 0
0 + -8x = 10 + 10
-8x = 10 + 10

Combine like terms: 10 + 10 = 20
-8x = 20

Divide each side by '-8'.
x = -2.5

Simplifying
x = -2.5

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